A conducting disc of conductivity a has a radius 'a' and thickness 'f. If the magnetic field B is applied in a direction perpendicular to the plane of the disc changes with time at the rate of $$\frac{dB}{dt}=\alpha $$. Calculate the power dissipated in the disc due to the induced current.

Question

TuteeHUB · Accepted Answer

$$\frac{\pi t\sigma {{a}^{4}}}{4}{{\alpha }^{2}}$$

TuteeHUB · Answer

$$\frac{\pi t\sigma {{a}^{4}}}{8}{{\alpha }^{2}}$$

TuteeHUB · Answer

$$\frac{\pi t\sigma {{a}^{4}}}{2}{{\alpha }^{2}}$$

TuteeHUB · Answer

$$\frac{2\pi t\sigma {{a}^{4}}}{3}{{\alpha }^{2}}$$

1.	A conducting disc of conductivity a has a radius 'a' and thickness 'f. If the magnetic field B is applied in a direction perpendicular to the plane of the disc changes with time at the rate of \[\frac{dB}{dt}=\alpha \]. Calculate the power dissipated in the disc due to the induced current.
A.	\[\frac{\pi t\sigma {{a}^{4}}}{8}{{\alpha }^{2}}\]
B.	\[\frac{\pi t\sigma {{a}^{4}}}{4}{{\alpha }^{2}}\]
C.	\[\frac{\pi t\sigma {{a}^{4}}}{2}{{\alpha }^{2}}\]
D.	\[\frac{2\pi t\sigma {{a}^{4}}}{3}{{\alpha }^{2}}\]
Answer» B. \[\frac{\pi t\sigma {{a}^{4}}}{4}{{\alpha }^{2}}\]

A conducting disc of conductivity a has a radius 'a' and thickness 'f. If the magnetic field B is applied in a direction perpendicular to the plane of the disc changes with time at the rate of \[\frac{dB}{dt}=\alpha \]. Calculate the power dissipated in the disc due to the induced current.

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